Optimisation of a Parallel Multigrid Solver for HPC Simulations
Application on HPC Fluid Flow Simulations
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The book starts with an introduction to equation solvers and how computational work can be distributed on High Performance Computers. In the following chapters a state-of-the-art Multigrid Solver is investigated and possible improvements are discussed. This solver is designed to solve the Navier-Stokes equation in two steps. In this solver, an intermediate velocity is computed via the Chorins projection using pressure values from a previous step. Secondly a pressure correction is made by using a pressure Poisson equation. The improved solver is tested against the original version in several sc...
The book starts with an introduction to equation solvers and how computational work can be distributed on High Performance Computers. In the following chapters a state-of-the-art Multigrid Solver is investigated and possible improvements are discussed. This solver is designed to solve the Navier-Stokes equation in two steps. In this solver, an intermediate velocity is computed via the Chorins projection using pressure values from a previous step. Secondly a pressure correction is made by using a pressure Poisson equation. The improved solver is tested against the original version in several scenarios that demonstrate an increase of speed up to a factor of 65. The final chapter provides the reader with some ideas on how the performance of a Multigrid Solver could be further improved.
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